2789820281664 has 504 divisors, whose sum is σ = 9220937177088. Its totient is φ = 801471283200.

The previous prime is 2789820281639. The next prime is 2789820281669. The reversal of 2789820281664 is 4661820289872.

2789820281664 is a `hidden beast` number, since 278 + 9 + 8 + 20 + 281 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2789820281669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 274826989 + ... + 274837139.

It is an arithmetic number, because the mean of its divisors is an integer number (18295510272).

Almost surely, 2^{2789820281664} is an apocalyptic number.

2789820281664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2789820281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610468588544).

2789820281664 is an abundant number, since it is smaller than the sum of its proper divisors (6431116895424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2789820281664 is a wasteful number, since it uses less digits than its factorization.

2789820281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2789820281664 in words is "two trillion, seven hundred eighty-nine billion, eight hundred twenty million, two hundred eighty-one thousand, six hundred sixty-four".